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中文摘要：
对弧齿锥齿轮齿形误差的修正方法进行了研究。根据弧齿锥齿轮齿面的数学模型，对齿面进行离散化处理并给出齿面离散点的径矢和法矢，建立修正齿面在离散点处相对于理论齿面的齿形误差表达式。根据实际齿面齿形误差的测量数据，得到弧齿锥齿轮的差曲面。在建立差曲面特征参数与比例修正参数之间关系的基础上，根据弧齿锥齿轮切齿计算得到的比例修正参数以及实际齿面在各离散点处的齿形误差值，建立一种基于比例修正参数的齿形误差修正方法。运用最优化算法可得到各种比例修正参数的修正倍数，进而得到机床调整参数的修正量。由修正后的机床调整参数可实现轮齿齿形误差的修正。通过实际的磨齿加工和齿形误差测量，验证了齿形误差修正方法的正确有效性。
英文摘要：
A method for correcting tooth flank errors of spiral bevel gears is investigated. Based on the mathematical model of tooth flanks, the tooth surface is discretized and then the radius vector and normal vector of discrete points is presented. The expression of tooth flank errors of modified tooth surface relative to theoretical one is established. According to the measuring data of tooth flank errors of real tooth surface, the difference surface is deduced. On the basis of setting up the relationship between the characteristic parameters of difference surface and proportional change parameters obtained from machine tool setting calculation, an error correction method based on proportional change parameters and the values of tooth flank errors of real tooth surface is proposed. By applying optimization algorithm, the coefficients of proportional change parameters are computed and then the correction values of machine tool settings are obtained. The tooth flank errors can be corrected by utilizing modified machine tool settings. The correction method of tooth flank errors is validated through practical tooth grinding and measurement of tooth flank.
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